Assume a person is selected randomly from the group of people represented in the table in exercise 5.41. The probability the person says “Hasn’t Gone Far Enough” given that the person is a woman is 57/100 or 57%. The probability that person is a woman given that the person says “Hasn’t Gone Far Enough” is 57/99 or 57.6%. The probability the person says “Hasn’t Gone Far Enough” and is a woman is 57/200 or 28.5%. Why is the last probability the smallest?

Data From Exercise 5.41:

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Hasn't Gone Far Has Been Has Gone Enough about Right Too Far Total Men 42 44 14 100 Women 57 34 6. 100 Total 99 78 23 200